The representation and calculation of matrix mechanics is a very important
element
in the quantum mechanics course. The two-level system serves as a simple
example to deepen
students' understanding of matrix me- chanics. However，the current
textbooks give rather limited
attention to the two-level system. In this paper，we intro- duce a system in
the research frontier
of quantum information: the charge qubit. In the teaching，the system is
first modeled using a
Hamiltonian operator to describe the occupation and tunneling processes of
a single electron in two
quantum dots. Then，the state and the time evolution of the system are
obtained by three methods
such as energy ei- genfunctions representation，solving the time-dependent
Schrödinger equation and
solving the equation of motion for the expectation value of an operator.
Finally，by comparing the
theoretical analysis and experimental results，students can find that the
theory is consistent with
the experiment. Thus these teaching contents can help students to grasp
more intuitively
and deeply the quantum mechanical laws and calculations with the matrix
mechanics representation.
Just Accepted
